248346624 has 96 divisors (see below), whose sum is σ = 671448960. Its totient is φ = 81616896.

The previous prime is 248346601. The next prime is 248346641. The reversal of 248346624 is 426643842.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509709 + ... + 510195.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2^248346624 is an apocalyptic number.

248346624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335724480).

248346624 is an abundant number, since it is smaller than the sum of its proper divisors (423102336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248346624 is an equidigital number, since it uses as much as digits as its factorization.

248346624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 248346624 is about 15759.0172282411. The cubic root of 248346624 is about 628.5687033333.

The spelling of 248346624 in words is "two hundred forty-eight million, three hundred forty-six thousand, six hundred twenty-four".